What is the Greatest Common Factor of 67086 and 67101?

Greatest common factor (GCF) of 67086 and 67101 is 3.

GCF(67086,67101) = 3

We will now calculate the prime factors of 67086 and 67101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67086 and 67101.

How to find the GCF of 67086 and 67101?

We will first find the prime factorization of 67086 and 67101. After we will calculate the factors of 67086 and 67101 and find the biggest common factor number .

Step-1: Prime Factorization of 67086

Prime factors of 67086 are 2, 3, 3727. Prime factorization of 67086 in exponential form is:

67086 = 2¹ × 3² × 3727¹

Step-2: Prime Factorization of 67101

Prime factors of 67101 are 3, 22367. Prime factorization of 67101 in exponential form is:

67101 = 3¹ × 22367¹

Step-3: Factors of 67086

List of positive integer factors of 67086 that divides 67086 without a remainder.

1, 2, 3, 6, 9, 18, 3727, 7454, 11181, 22362, 33543

Step-4: Factors of 67101

List of positive integer factors of 67101 that divides 67086 without a remainder.

1, 3, 22367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67086 and 67101. The biggest common factor number is the GCF number.
So the greatest common factor 67086 and 67101 is 3.

Also check out the Least Common Multiple of 67086 and 67101